1404329472 has 480 divisors, whose sum is σ = 5308535232. Its totient is φ = 346816512.

The previous prime is 1404329449. The next prime is 1404329477. The reversal of 1404329472 is 2749234041.

1404329472 is a `hidden beast` number, since 140 + 43 + 2 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404329477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7128478 + ... + 7128674.

Almost surely, 2^1404329472 is an apocalyptic number.

1404329472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654267616).

1404329472 is an abundant number, since it is smaller than the sum of its proper divisors (3904205760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1404329472 is a wasteful number, since it uses less digits than its factorization.

1404329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1404329472 is about 37474.3842110848. The cubic root of 1404329472 is about 1119.8409297898.

The spelling of 1404329472 in words is "one billion, four hundred four million, three hundred twenty-nine thousand, four hundred seventy-two".